Download or read book Sourcebook in the Mathematics of Medieval Europe and North Africa written by Victor J. Katz and published by Princeton University Press. This book was released on 2016-11-01 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon’s use of mathematical induction in combinatorial proofs; Al-Mu’taman Ibn Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’s interesting proof of Euclid’s parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.
Download or read book Episodes in the Mathematics of Medieval Islam written by J.L. Berggren and published by Springer. This book was released on 2017-01-18 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an account of selected topics from key mathematical works of medieval Islam, based on the Arabic texts themselves. Many of these works had a great influence on mathematics in Western Europe. Topics covered in the first edition include arithmetic, algebra, geometry, trigonometry, and numerical approximation; this second edition adds number theory and combinatorics. Additionally, the author has included selections from the western regions of medieval Islam—both North Africa and Spain. The author puts the works into their historical context and includes numerous examples of how mathematics interacted with Islamic society.
Download or read book The Development of Mathematics in Medieval Europe written by Menso Folkerts and published by Routledge. This book was released on 2006 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume complements the previous collection of articles by Menso Folkerts, Essays on Early Medieval Mathematics. It deals with the development of mathematics in Europe from the 12th century to about 1500.
Download or read book Leonard of Pisa and the New Mathematics of the Middle Ages written by Joseph Gies and published by New Classics Library. This book was released on 2000 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A wonderful book about Leonardo Fibonacci's rediscovery of the Golden Ratio in the 13th century. Includes explanations of the Golden Rectangle, the Golden Spiral, and Fibonacci's own math problems (with solutions).
Download or read book Essays on Early Medieval Mathematics written by Menso Folkerts and published by Taylor & Francis. This book was released on 2023-06-14 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the mathematics of the medieval West between ca. 500 and 1100, the period before the translations from Arabic and Greek had their impact. Four of the studies appear for the first time in English. Among the topics treated are: the Roman surveyors (agrimensores); recreational mathematics in the period of Bede and Alcuin; geometrical texts compiled in Corbie and Lorraine from Latin sources from late antiquity; the abacus at the time of Gerbert (pope Sylvester II.); and a board-game invented in the first half of the 11th century (the 'Rithmimachia') to help people to learn mathematics. Included in the volume are critical editions of several texts, e.g. that of Franco of Liège on squaring the circle, Bede and Alcuin on recreational mathematics, and part of Pseudo-Boethius' Geometry I. The book opens with a survey of mathematics in the Middle Ages, and ends with a history of Rithmimachia up to the 17th century, when the game fell into disuse.
Download or read book Stars and Numbers written by Paul Kunitzsch and published by Taylor & Francis. This book was released on 2022-04-19 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The studies brought together in this second collection of articles by Paul Kunitzsch continue the lines of research evident in his previous volume (The Arabs and the Stars). The Arabic materials discussed stem mostly from the early period of the development of Arabic-Islamic astronomy up to about 1000AD, while the Latin materials belong to the first stage of Western contact with Arabic science at the end of the 10th century, and to the peak of Arabic-Latin translation activity in 12th century Spain. The first set of articles focuses upon Ptolemy in the Arabic-Latin tradition, followed by further ones on Arabic astronomy and its reception in the West; the final group looks at details of the transmission of Euclid's Elements.
Download or read book The Mathematics of Egypt Mesopotamia China India and Islam written by Victor J. Katz and published by Princeton University Press. This book was released on 2007-08-05 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. The Mathematics of Egypt, Mesopotamia, China, India, and Islam gives English readers a firsthand understanding and appreciation of these cultures' important contributions to world mathematics. The five section authors--Annette Imhausen (Egypt), Eleanor Robson (Mesopotamia), Joseph Dauben (China), Kim Plofker (India), and J. Lennart Berggren (Islam)--are experts in their fields. Each author has selected key texts and in many cases provided new translations. The authors have also written substantial section introductions that give an overview of each mathematical culture and explanatory notes that put each selection into context. This authoritative commentary allows readers to understand the sometimes unfamiliar mathematics of these civilizations and the purpose and significance of each text. Addressing a critical gap in the mathematics literature in English, this book is an essential resource for anyone with at least an undergraduate degree in mathematics who wants to learn about non-Western mathematical developments and how they helped shape and enrich world mathematics. The book is also an indispensable guide for mathematics teachers who want to use non-Western mathematical ideas in the classroom.
Download or read book Music and the Stars written by Mary Kelly and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: International experts introduce and explore the history of mathematics in medieval Ireland - its reception, philosophy and the contribution made by Irish scholars to the development of science in Ireland and Western Europe.--
Download or read book Distributivity like Results in the Medieval Traditions of Euclid s Elements written by Leo Corry and published by Springer Nature. This book was released on 2021-11-19 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a fresh view on an important and largely overlooked aspect of the Euclidean traditions in the medieval mathematical texts, particularly concerning the interrelations between geometry and arithmetic, and the rise of algebraic modes of thought. It appeals to anyone interested in the history of mathematics in general and in history of medieval and early modern science.
Download or read book Mathematics and Music written by Gerard Assayag and published by Springer Science & Business Media. This book was released on 2002-07-10 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for instance. Mathematical models can be found for almost all levels of musical activities from composition to sound production by traditional instruments or by digital means. Modern music theory has been incorporating more and more mathematical content during the last decades. This book offers a journey into recent work relating music and mathematics. It contains a large variety of articles, covering the historical aspects, the influence of logic and mathematical thought in composition, perception and understanding of music and the computational aspects of musical sound processing. The authors illustrate the rich and deep interactions that exist between Mathematics and Music.
Download or read book A Passage to Infinity written by George Gheverghese Joseph and published by SAGE Publications Pvt. Limited. This book was released on 2009-12-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book traces the first faltering steps taken in the mathematical theorization of infinity which marks the emergence of modern mathematics. It analyzes the part played by Indian mathematics through the Kerala conduit, which is an important but neglected part of the history of mathematics.
Download or read book The Absent Image written by Elina Gertsman and published by Penn State Press. This book was released on 2021-06-24 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the 2022 Charles Rufus Morey Award from the College Art Association Guided by Aristotelian theories, medieval philosophers believed that nature abhors a vacuum. Medieval art, according to modern scholars, abhors the same. The notion of horror vacui—the fear of empty space—is thus often construed as a definitive feature of Gothic material culture. In The Absent Image, Elina Gertsman argues that Gothic art, in its attempts to grapple with the unrepresentability of the invisible, actively engages emptiness, voids, gaps, holes, and erasures. Exploring complex conversations among medieval philosophy, physics, mathematics, piety, and image-making, Gertsman considers the concept of nothingness in concert with the imaginary, revealing profoundly inventive approaches to emptiness in late medieval visual culture, from ingenious images of the world’s creation ex nihilo to figurations of absence as a replacement for the invisible forces of conception and death. Innovative and challenging, this book will find its primary audience with students and scholars of art, religion, physics, philosophy, and mathematics. It will be particularly welcomed by those interested in phenomenological and cross-disciplinary approaches to the visual culture of the later Middle Ages.
Download or read book Music and Mathematics written by Philippe Vendrix and published by Brepols Publishers. This book was released on 2008 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: 20041123
Download or read book Writing the History of Mathematics Its Historical Development written by Joseph W. Dauben and published by Springer Science & Business Media. This book was released on 2002-09-23 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an historiographic monograph, this book offers a detailed survey of the professional evolution and significance of an entire discipline devoted to the history of science. It provides both an intellectual and a social history of the development of the subject from the first such effort written by the ancient Greek author Eudemus in the Fourth Century BC, to the founding of the international journal, Historia Mathematica, by Kenneth O. May in the early 1970s.
Download or read book Geometry in Ancient and Medieval India written by T. A. Sarasvati Amma and published by Motilal Banarsidass Publ.. This book was released on 1999 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a geometrical survey of the Sanskrit and Prakrt scientific and quasi-scientific literature of India, beginning with the Vedic literature and ending with the early part of the 17th century. It deals in detail with the Sulbasutras in the Vedic literature, with the mathematical parts of Jaina Canonical works and of the Hindu Siddhantas and with the contributions to geometry made by the astronomer mathematicians Aryabhata I & II, Sripati, Bhaskara I & II, Sangamagrama Madhava, Paramesvara, Nilakantha, his disciples and a host of others. The works of the mathematicians Mahavira, Sridhara and Narayana Pandita and the Bakshali Manuscript have also been studied. The work seeks to explode the theory that the Indian mathematical genius was predominantly algebraic and computational and that it eschewed proofs and rationales. There was a school in India which delighted to demonstrate even algebraical results geometrically. In their search for a sufficiently good approximation for the value of pie Indian mathematicians had discovered the tool of integration. Which they used equally effectively for finding the surface area and volume of a sphere and in other fields. This discovery of integration was the sequel of the inextricable blending of geometry and series mathematics.
Download or read book Leonardo Pisano Fibonacci written by L. E. Sigler and published by Elsevier. This book was released on 2014-06-28 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Book of Squares by Fibonacci is a gem in the mathematical literature and one of the most important mathematical treatises written in the Middle Ages. It is a collection of theorems on indeterminate analysis and equations of second degree which yield, among other results, a solution to a problem proposed by Master John of Palermo to Leonardo at the Court of Frederick II. The book was dedicated and presented to the Emperor at Pisa in 1225. Dating back to the 13th century the book exhibits the early and continued fascination of men with our number system and the relationship among numbers with special properties such as prime numbers, squares, and odd numbers. The faithful translation into modern English and the commentary by the translator make this book accessible to professional mathematicians and amateurs who have always been intrigued by the lure of our number system.
Download or read book Technology and Mathematics written by Sven Ove Hansson and published by Springer. This book was released on 2018-10-24 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first extensive study of the historical and philosophical connections between technology and mathematics. Coverage includes the use of mathematics in ancient as well as modern technology, devices and machines for computation, cryptology, mathematics in technological education, the epistemology of computer-mediated proofs, and the relationship between technological and mathematical computability. The book also examines the work of such historical figures as Gottfried Wilhelm Leibniz, Charles Babbage, Ada Lovelace, and Alan Turing.
